tenth class maths model question papers

8/3/2019 tenth class maths model question papers

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RHNR@ OEM__ M.T . _._.O JFMZB _SEEXJX_<

NF FA ZHQC_CFN RH_R_ < =0

NF FA GZMNB RH_R M_ TMZR_< 2

NF FA TZH ACNME_ <:

HPMK O@MTRHZ NF<

K=P _RMRHKHNR_

K:P AXNORCFN_

K?P TFESNFKCME_ FQHZ CNRHGHZ_ = RF 2HPHZ_COH_

K2P TFESNFKCME_ FQHZ CNRHGHZ_ 8 RF 0HPHZ_COH_

K8P OFKTEHRH < TFESNFKCME_ FQHZ CNRHGHZ_

GR=P = RF ? O@MTRHZ_

K1P ECNHMZ TZFGZMKCNG

K7P ZHME NXKJHZ_

K0P TZFGZH__CFN_ =RF 2 HPHZ_COH_

K3P TZFGZH__CFN_ =RF 2 HPHZ_COH_

GR:P 2 RF 1 O@MTRHZ_

K=4P MNMESRCOME GHFKHRZS = RF :HP

K==P MNMESRCOME GHFKHRZS ? RF 2HP

K=:P Rzcgnfkhrzs = RF ? HPHZ_COH_

K=?P Rzcgnfkhrzs 2 RF 7 HPHZ_COH_

K=2P OFKTXRCNG

GR?P 0 %3% =: O@MTRHZ_

K=8P GHFKRHZS

K=1P KMRZCOH_ = RF :HP

K=7P KMRZCOH_ ? RF 2HPK=0P _RM_RCO_

GR2P 7% =4 == O@MTRHZ_

TZH ‟ACNME C

TZH+ACNME CC

TZHTMZHB JS<

R. LMGMBHH_@WMZ 312:?:=:::



MQMNR@C @CG@ _O@FFE@XNRHZ ZFMB @NI

ZHQ_CFN RH_R ‟ K=

BMRH < :? .=4 .:4== (KFZ.#

_XJ< KMR@HKMRCO_ KMP.KMZI_<?4

=.MN_WHZ R@H AFEEFWCNG < 8P=;8=.wzcrh r`h cnqhzh mnb ofnrzm tfcrcqh fa r`h afeefwcng rmrhkhnr+ ― Ca rwf rzcmngeh mzh ofngzxhnr % r`hn

r`hs mzh ckcemz ―.

:.Wzcrh cn hr+ jxcebhz afzk% M; y +?%+:%+=%4%=%:%? {

?.Ca n(MXJ# ;8=% n(M#; :4 % n(J# ;229 Acnb r`h qmexh fa n(M∣ J#

2._`fw r`mr (M–#–; M

8.Wzcrh r`h skjfe afz xncqhzme }xmnrcachz mnb hpcrhnrcme }xmnrcachz.

CC.MN_WHZ R@H AFEEFWCNG < 2P: ;0

1._`fw r`mr ( ~t # q (t }# ≭ (t⇚}#

7.wzcrh r`h rzxr` rmjeh afz t

(

~}#

⇚t

0.Bhacnh Bczhor tzffa . tzfqh r`mr< ― Ca p c hqhn r`hn p:

c hqhn ―

3.Xcng hehkhnr wch tzffa % `fw r`mr M ‟ J ; M ∣ J–

CCC.MN_WHZ R@H AFEEFWCNG < ?P2 ;=:

=4. Mr m focme tfzr oexj wcr` :34 khkjhz %cr wm afxnb r`mr =:4 temshb rhnnc%==4 temshb rhnncifcr%

=?4 temshb jmbkcnrfn9 74 temshb jfr` rhnnc mnb rhnncifcr9 88 temshb rhnncifcr mnb jmbkcnrfn 9 14 temshb

rhnnc mnb jmbkcnrfn . cr wm mef bcofqhzhb r`mr 78 khkjhz `mb lfcnhb fnes afz r`h focme cbh fa r`h

oexj mnb bcb nfr tems mns fa r`h r`zhh gmkh . `fw kmns temshb mee r`h r`zhh gmkh.

==._`fw r`mr M ‟ ( J X O # ; ( M ‟ J # ∣ ( M ‟ O#

=:.Tzfqh M

∣(J X O # ; (M

∣J# X (M

∣O#

CQ. O@FF_H R@H OFZZHOR MN_WHZ < 8P » ; : »

=.t q t ; t % r`c c VVVVVV emw

M# ofkkxrmrcqh J# Cbfktfrhnr O# mfocrmrcqh B# Cbhnrcrs

:.R`h ofktehkhnr fa

M# J# ∈ O# M B# M–

?.Ca M⊊ J r`hn M X J ;

M# M J# O# J B# ∈

2.t q(} z# ; (tq}# (tqz# c

M# ofkkxrmrcqh J# bcrzcjxrcqh O# bh+kfzgmn– B# Cbhnrcrs

8. (MXJ#– ; 6M# M

–XJ

–J# M

–∣ J–

O# M–+ J B#M+ J

Q.ACEE CN R@H JEMNI_< 8P » ; : »

1.Ca rwf hr M mnb J mzh bclfcnr % r`hn n(MX J# ; VVVVVVVVVV

7.Ca M⊊ J mnb J ⊊ M r`hn VVVVVVVVVVVVV

0. ( MX J# ‟ ( J X M# ; VVVVVVV

3.Bhncme fa r`h rmrhkhnr c omeehb m VVVVVVVVVVV

=4.R`h rzxr` qmexh fa ― Ca ?): ;8 r`hn =p4 ;4‛ c VVVVVVVVVVV

,,,,,,,




ZHQ_CFN RH_R ‟ K:

BMRH < :7 .=4 .:4== (KFZ.#


=.MN_WHZ R@H AFEEFWCNG < 8P=;8

=.a;y(=%:#%(?%2#%(8%:#%(7%2#{ % g ; y (:%==#%(1%==#%(2%=?#%(0%=?{ acnb gfa.

:.Hptzh r`h khmncng fa ofktfcrh axnorcfn (gfa#

?.Ca a(p# ; %acnb a(4#% a(=#%

2.Bhacnh fnrf axnorcfn.

8.a< Z↚ Z 9 a(p# ; mp)j 9 m%j∀ Z .Acnb a +=

.


1. Ca a< Z↚ Z c bhacnhb js a(p# ; `fw r`mr a( #; p afz p;=

7. Ca a(p# ;p): 9 g(p# ; p:

‟p+: 9acnb

0. a(p#;

9 `fw r`mr a(p# )a(

# ; 4

3. Ca s ; a(p# ; % r`hn tzfqh r`mr a(s# ; p


=4. Ehr a%g%` jh axnorcfn bhacnhb js a(p# ; p):% g(p# ;p % `(p# ; p:

acnb (`fg#fa ; `f(gfa#..

==. a< Z↚ Z. bhacnhb js a(p# ;:p)? 9 r`hn acnb c#a +=

(2# cc#ya +=

(p# < : ≢p ≢?{ ccc# a +=

(p# < p ≢ 8

=:. Ehr a%g%` jh axnorcfn bhacnhb js a(p# ; p% g(p# ;=+ p % `(p# ; p )= acnb c# (`fg#fa cc# `f(gfa#.

ccc#w`mr bf sfx ofnoexbh


=.a(p# ;p:):p+i mnb ca a(:#;0 9 r`hn i;

M#= J# : O# 4 B#?

:. Ehr a(p#;p:9 g(p#;?p): r`hn afg(:#;

M#12 J# =: O# =2 B#=1

?.Ca a c m axnorcfn azfk M rf J % r̀ hn a c m xjhr fa ;

M# a(m# J# JP M O# MPJ B# MPM

2.a(p# ; :p+? % r`hn |hzf fa r`h axnorcfn c

M# ?&: J# 4 O# +?&: B# :&?8. Ca a<Z↚ Z % a(p# ; :p+? % r`hn a(p)=# ;

M# :p+= J# p+? O# :p+? B#p+=


1. a< M ↚J rf jh m axnorcfn mb ca a(p=#;a(p:# ⇚ p=;p: r`hn a c VVVVVVVVVVVVV

7. R`h zmngh fa ofnrmnr axnorcfn c VVVVVVVV

0. Ca a(p# ;p)= r`hn ?.a(:#+:.a(?#;VVVVVVVV

3. a;y(=%:#%(:%:#(?%:#{ r`hn zmngh fa a; VVVVVVVVVVV

=4. a;y(=%2#%(?%:#% (2%?# r`hn a +=

(2# ; VVVVVVVVV

,,,,,,,




ZHQ_CFN RH_R ‟ K?

BMRH < ?4 .=4 .:4== (KFZ.#_XJ< KMR@HKMRCO_ KMP.KMZI_<?4

C.MN_WHZ R@H AFEEFWCNG < 8P=;8

=. Wzcrh r`h ofnbcrcfn ca p+= mnb p)= mzh r`h amorfz fa a(p#.

:. Acnb r`h xk mnb r`h tzfbxor fa r`h zffr fa r`h h}xmrcfn :p:

+1p )3 ;4.

?. Hptmnb ί m:

(j:

‟ o:

#.

2. Wzcrh r`h }xmbzmrco h}xmrcfn w`fh zffr mzh ?)∜ 8 9 ?+ ∜ 8 .

8. Acnb r`h zhkmcnbhz w`hn ?p?

+:p:

)p): c bcqcbhb js (p+=# .

CC.MN_WHZ R@H AFEEFWCNG < 2P: ;01. R`h tzfbxor fa rwf ofnhoxrcqh fbb nxkjhz c =2? . acnb r`hk.

7. Acnb r`h qmexh fa k cn fzbhz r`mr p2

‟ :p?

)?p:

‟kp )8 kms jh hpmores bcqccjeh js (p+=#

0. _rmrh mnb tzfqh zhkmcnbhz r`hfzhk.

3. R`h tzfbxor fa rwf ofnhoxrcqh nxkjhz c 7: . acnb r`hk.


=4. R`h hptzhcfn mp:

) jp )o h}xme +: w`hn p ;4 . ehmqh r`h zhkmcnbhz ? w`hn bcqcbhb js (p+=#

mnb m zhkmcnbhz +? w`hn bcqcbhb js (p)=# .Acnb m% j mnb o .

==. Amorfzch < p2) 8p

?) 8p

:+8p+1

=:. M tems acheb c =44 k js 14 k % `m m affr tmr` mee mzfxnb cr fn r`h fxrcbh .W`mr `fxeb jh r`h wcbr` fa r`h tmr` % ca cr mzhm jh ?&8 fa r`h mzhm fa r`h tems acheb .


=. Fnh fa r`h zffr fa r̀ h h}xmrcfn P:+:p+= ;4

M# += J# ⎷?+= O# ⎷:+= B#⎷:)=

:. R`h }xmbzmrco h}xmrcfn w`fh zffr mzh :)∜ ? % :+ ∜ ?

M# p:)2p)= J# p

:+ 2p)= O# p

:+ 2p)= B# p

:)2p+=

?.Ca p+: cm amorfz fa p+: r`hn a(:# ; VVVV

M# 4 J# +: O# : B#

½:

2.ca p )= c m amorfz fa mp: )jp )o% r`hn

M# m)j)o ;4 J# m)j ;o O# m)o ;j B# j)o;m

8. Ca p:+ 2p)? ;4 9 p

:+ 8p)i ;4 `mqh m ofkkfn zffr r`hn i;

M# ?%1 J# 2%1 O# =%2 B#=%?


1. R`h tzfbxor fa r`h zffr fa 2p:

; = cVVVVVV

7. R`h zffr fa tp:)}p)z;4 mzh h}xme r`hn VVVVVVVV

0. Ca (p+s# c m amorfz fa pn+s

n%r`hn n c VVVVV

3. Ca a(j&m# ;4 %r`hn r`h amorfz fa a(p#; VVVVV

=4. Ca r`h xk fa r`h ofhaacochnr fa m tfesnfkcme c |hzf %r`hn VVVVVVVV c m amorfz

,,,,,,,




ZHQ_CFN RH_R ‟ K2

BMRH < 4: .== .:4== (KFZ.#


C.MN_WHZ R@H AFEEFWCNG < ?P:;1

=. Acnb r`h kcbbeh rhzk fa r`h hptmncfn - √ / "(

:. Acnb r`h 2r`

rhzk fa r`h hptmncfn ) / "'

?. Hptmnb (:p )?#8

CC.MN_WHZ R@H AFEEFWCNG < :P2 ;0

2. Acnb r`h cnbhthnbhnr rhzk fa

- √#

"

8. xcng tzcnocteh fa kmr`hkmrcome cnbxorcfn % `fw r`mr = ): ) ?) ‡. ; ,,

CCC.MN_WHZ R@H AFEEFWCNG < :P8 ;=4

1. Bzmw r`h gzmt` fa p:

+8p )1 ;4 mnb acnb r`h zffr .

7.Xcng r`h gzmt` fa s ; p:

9 feqh r`h h}xmrcfn p:

‟p +1 ;4


=. Ca (:%i# ech fn r`h tmzmjfem s;:p +? r`hn i;

M# += J# = O# ½: B# ½=

:.

1

O: )

1

O2 ;M# :8 J# ?8 O# ?4 B# :4

?.R`h oxzqh p;ks:

ech cn VVVV }xmbzmnr

M# = mnb : J# : mnb ? O# ? mnb 2 B# = mnb 2

2.r`h cn h}xmrcfn wcr` fexrcfn =5 p5 ? c

M# p:

)2p )?>4 J# p:

+2p )? 54 O# p:

+2p +?;4 B# p:

+2p +2>4

8. 4 ;

M# = J# : O# ? B#2

Q.ACEE CN R@H JEMNI_< 7P » ; ? »

1. Ca p:+p+1 54.r`hn r`h qmexh fa pVVVVVVVVVVVVVV

7. Ca nO0 ;

nO7 r`hn n; VVVVVVVVVVVVVVVVVVV

0. Nxkjhz fa rhzk cn (p:

‟ s #:4

cVV

3 .R`h xk fa m nxkjhz mnb cr zhoctzfome c =7&2 %r`hn r`h nxkjhz c VVVVVVVVVVV

=4. Cn m tmome rzcmngeh hmo` zfw fa ofhaacochnr c jfxnbhb fn jfr` cbh js VVVVVVVVVVVVVVVVVV

==. R`h gzmt` fa s;p:

c VVVVVVVVVVVV

=:. R`h oxzqh s;:p:

gfh r`zfxg` r`h }xmbzmnr VVVVVVVVVVVVVVVVV.

,,,,,,,




ZHQ_CFN RH_R ‟ K8

BMRH < 42 .== .:4== (hqh.#_XJ< KMR@HKMRCO_ KMP.KMZI_<?4

C.MN_WHZ R@H AFEEFWCNG < ?P=;?

=. Acnb r`h tfcnr w`hzh r`h tmzmjfem s; :p:

)p += oxr r`h p+mpc

:. Acnb r`h xk mnb r`h tzfbxor fa r`h zffr fa r`h h}xmrcfn ∜ ? p:

)3p )1∜ ?.

?. Acnb r`h qmexh fa i f r`mr p?

‟ ?p:

)2p )i c hpmores bcqccjeh js (p+:#.

CC.MN_WHZ R@H AFEEFWCNG < ?P: ;1

2. Acnb r`h nxkjhz w`co` c eh r`mn cr }xmzh js =?:..

8. Ca ‐m– mnb ‐j– mzh xnh}xme mnb p: )mp)j mnb p:)jp)m `mqh m ofkkfn amorfz% `fw r`mr m)j)=;41. _rmrh mnb tzfqh zhkmcnbhz r`hfzhk.


7. Acnb r`h kcbbeh rhzk fa r`h hptmncfn - ) "'

0. Amorfzch < 2p2+ =:p

?) 7p

:)?p+:

3. Ca a(p# ; p:)8p )t 9 mnb ](p# ; p

:) ?p)} `mqh m ofkkfn amorfz % r`hn

c# acnb r`h ofkkfn amorfz

cc# `fw r`mr (t+}#:

; :(?t+8}# .

CQ.MN_WHZ R@H AFEEFWCNG < =P8;8 =4. Xcng s;p:

9 feqh p:

+2p)? ;4

Q. O@FF_H R@H OFZZHOR MN_WHZ < 2P » ; :

=. ∜ + ) = ;? % p ;

M# 0 J# 1 O# 3 B=4

:. xk fa r`h jcnfkcme ofhaacochnr fa r`h hptmncfn fa (p)s#2

M# 1 J# =1 O# 2 B# ?:

?.Ca (:p+=# hpmores bcqcbh mp:)jp)o% r`hn

M# m):j)2o;4 J# m+j+o;4 O# m)j B# m)j+:o;4

2.r`h r`czb rhzk cn r`h hptmncfn fa (?p+8#

2

cM# 0=p2

J# 3p?

.:8 O# 82 .:8p:

B# :7. 8p?

QC.ACEE CN R@H JEMNI_< 2P » ; :

8. Ca a(2&8#;4 r`hn VVVVVV c m amorfz fa a(p#

1. Ca pn

‟sn

c bcqccjeh js p)s % r`hn n c VVVVVVVVV

7. R`h }xmbzmrco h}xmrcfn w`fh zffr mzh : mnb +8 c VVVVVV VVVVV

0. Ca r`hzh c nf ofkkfn tfcnr afz r`h gzmt` s;p mnb s;2p+8 9 r`hn r`h h}xmrcfn VVVVV bfh nfr

`mqh zhme zffr

,,,,,,,




GZMNB RH_R +=

KMR@HKMRCO_

@.R NF ! NMKH CNQCGCEMRFZ _CGN

OEM__< P

BMRH < 40 .== .:4== (KFZ.# TMZR+M( KMP. KMZI_ <?8# RCKH : » @Z_.

_HORCFN+C 8P: ;=4

Nfrh< =.Mnwhz MNS ACQH }xhrcfn o`ffcng mr ehmr RWF azfk hmo` gzfxt

:.Hmo` }xhrcfn omzch : kmzi.

GZFXT+M

=._`fw r`mr Y t

(

~} # [ Ι Y (

~t# q }[ c m ofnrzmbcorcfn.

:.CaM%J mzh mns rwf hr % r`hn tzfqh M–‟ J

–; J + M.

?. Ca a< Z ↚Z c bhacnhb js a(p# ;.. `fw r`mr a(

.. #; p afz p ≤=..

2. a<Z↚Z c bhacnhb m a(p# ;?p+2 r`hn `fw r`mr a +=

hpcr mnb acnb r`h afzkxem afz a +=

(p#

GZFXT+J

8. ehr a(p# ;p:):p)? 9 acnb

44

1. wzcrh r`h rzxr` rmjeh t Ι(~}# t.

7. Hptmnb ( :p ) ?s #8.

0.. Acnb r`h qmexh fa i f r`mr p +?p )2p)i c hpmores bcqccjeh js (p+:#

_HORCFN+CC 2P=;2

NFRH< Mnwhz MNS AFXZ fa r`h afeefwcng

Hmo` }xhrcfn omzzch = Kmzi.

3. Wzcrh r`h Cnqhzh mnb Ofnqhzh fa r`h ―Cn m rzcmngeh MJO Ca MO > MJ r`hn ∤J ; ∤O

=4. M ;y =.0%:7%12%=:8%:=1{ wzcrh r`h hr jxcebhz afzk.

==. Ca a; y (=%?#%(:%8#%(?%7#{ g; y(?%7#%(8%3#%(7%=4#{ acnb g4a

=:.Acnb r`h nmrxzh fa r`h zffr fa p:

+ 2p )8 ;4

=?. Hptmnb ∝m:

(j:

+ o:#

=2. Bhacnh fn rf axnorcfn



_HORCFN+CCC 2P2;=1

NFRH< Mnwhz mns AFXZ fa r`h afeefwcng o`ffcng mr ehmr RWF azfk hmo` gzfxt.

Hmo` }xhrcfn omzch 2 Kmzi.

GZFXT+M

=8. Tzfqh M ‟ (J ∣ O# ; ( M+J # ∬ ( M+ O#.

=1. Tzfqh M∣ (J∬ O# ; ( M ∣J# ∬(M ∣O#

=7. Ca a(p# ;p 9 g(p#; =+p 9 `(p#;p)= acnb c# (`4g#4a cc#`4(g4a# w`mr bf sfx ofnoexbh

=0. Amorfzch p2) 8p

?) 8p

:+8p+1

GZFXT+J

=3. Mr m focme tfzr oexj wcr` :34 khkjhz %cr wm afxnb r`mr =:4 temshb rhnnc%==4 temshb rhnncifcr%=?4 temshb jmbkcnrfn9 74 temshb jfr` rhnnc mnb rhnncifcr9 88 temshb rhnncifcr mnb jmbkcnrfn 9 14 temshb

rhnnc mnb jmbkcnrfn . cr wm mef bcofqhzhb r`mr 78 khkjhz `mb lfcnhb fnes afz r`h focme cbh fa r`h

oexj mnb bcb nfr tems mns fa r`h r`zhh gmkh . `fw kmns temshb mee r`h r`zhh gmkh.

:4. Acnb r`h zffr fa

2 )p ;

2 )j.

:=. Acnb r`h cnbhthnbhnr rhzk fa p . (1p+#

#=:

::. a< Z↚ Z. bhacnhb js a(p# ;:p)? 9 r`hn acnb c#a +=

(2# cc#ya +=

(p# < : ≢p ≢?{ ccc# a +=

(p# < p ≢ 8.

_HORCFN+CQ =P8;8

NFRH< Mnwhz mns FNH fa r`h afeefwcng

]xhrcfn omzzch 8 Kmzi

:?. Xcng r`h gzmt` s ; p:

feqh p:+?p): ;49 mnb acnb r`h zffr.

:2. Bzmw r`h gzmt` fa s;p:

mnb p;s: fn m gzmt` tmthz. Acnb r`h r`h cnrhzhorcng tfcnr.

,,,,,,,




GZMNB RH_R +=

KMR@HKMRCO_


OEM__< P TMZR+J( KMP. KMZI_ <=8# RCKH : » @Z_

Nfrh < =. Hmo` ]xhsrcfn omzzchs » kmzi.:. Mnswhzs mzh rf jh wzcrrhn cn r`h }xhsrcfn tmthz fne.?. Mee }xhsrcfns mzh rf jh mnswhzhb.2.Kmzis wcee nfr jh gcqhn afz fqhz+wzcrrhn % zh+wzcrrhn fz hzmshb mnswhzs.

C . wzcrh r`h OMTCRME EHRRHZ fa r`h ofzzhor mnwhz cn r`h jzmoihr tzfqcbhb .

=.~Yt (~}#[ ; Y [M# ~ Ιt ~} J# ~ t q ~} O# ~ tΙ } B# ~t q }

: M– ‟ J– ; Y [

M#M + J J# ∈ O# J ‟ M B#

?. .~(t →}# ; Y [

M#t→ (~}# J#t } O#~t → ~} B#t ~}

2. Ehr a(p#;p:9 g(p#;?p): r`hn afg(:#; Y [

M#12 J# =: O# =2 B#=1

8 a(p# ; r`hn

770 Y [

M# += J# = O# 4 B# +:

1. R`h |hzf qmexh fa r`h axnorcfn fa a(p#;:p+? c Y [

M#?&: J# :&? O# 4 B#=2

7. fnh fa r`h zffr fa r`h h}xmrcfn P:+:p+= ;4 Y [

M# += J# ⎷?+= O# ⎷:+= B#⎷:)=

0. Ca nO0 ;

nO7 r`hn n; Y [

M#=8 J# 81 O# = B#4

3. r`h bcozckcnmrh fa :p:+7p)?;4 Y [

M#:4 J# :2 O# :8 B#:1

=4. t ↚} c A fnes w`hn Y [

M#t c A% } c R J# t c A } c A O# t c R } c A B#t c R } c R

CC. Acee cn r`h jemni wcr` xcrmjeh mnwhz.

==. (t⇒ }# ; VVVVVVVVVVVVVV

=:. R`h ofnqhzh fa m ofnbcrcfnme c h}xcqmehnr rf cr VVVVVVVVVVVVVVVVVV

=?. xsscng mttzftzcmrh skjfes %r`h srmrhkhnr ― hcr`hz t fz nfr t ‛ cs zhwzcrrhn msVVVVVVVVVVVVVVVVVVVV=2. Ca n(M# ;7 n(J# ; 8 9 r`hn r`h kmpckxk nxkjhz fa hehkhnr cn M J VVVVVVV

=8. a< M M %a(p# ;p r c̀ c m VVVVVVVVaxnorcfn

=1. s;a(p#;8p 9 r`hna +=

(p# ; VVVVVVVVVVVVVVVVVVVV

=7. R`h zmngh fa r`h axnorcfn a(p#;? c VVVVV=0. R`h fexrcfn hr w`co` mrcach r`h }xmbzmrco h}xmrcfn p

:+2p )?; 4 c VVVVV

=3. Cn m tmome rzcmngeh hmo` zfw fa ofhaacochnr c jfxnbhb fn jfr` cbh js VVVVVVVVVVVVVVVVVV

:4. Ca (p)=# c m amorfz fa mp:)jp)o r`hn VVVVVVVVVV

=8



CCC Kmro` r`h afeefwcng

(c# Gzfxt ‟ M Gzfxt ‟ J

:=.a< M ↚J rf jh m axnorcfn

Mnb ca a(p=#;a(p:# ↚ p=;p: r`hn a c Y [ M# y:{

::.a<M↚ J rf jh m axnorcfn mnb ca a(p#;a9 r`h a c Y [ J# =?

:?.a(p#;p:+? r`h a(2#; Y [ O#cbhnrcrs

:2.a;y(=%:#%(:%:#(?%:#{ r`hn zmngh fa a; Y [ B#fnh+fnh

:8.n(M#;: 9n(J#;: r`hn Y [ H##2

n(MPJ#; A#ofnrmnr

(cc# Gzfxt ‟ M Gzfxt ‟ J

:1.xk fa r`h zffr fa 1p:+8 Y [ M# CCC ! CQ

:7.Ca (p+:#c m amorfz fa p:+?p)e r`hn i; Y [ J#j+2mo

:0.r`h bcozckcnmrh fa mp:)jp)o;4 Y [ O#z&t

:3.R`h oxzqh s;:p

:

gfh r`zfxg` r`h }xmbzmnr Y [ B#4

?4.r`h tzfbxor fa r`h zffr fa tp:)}p)z;f Y [ H#+}&t

A#:

G# C ! CC

,,,,,,,,




ZHQ_CFN RH_R ‟ K1

BMRH < =8 .== .:4== (KFZ.#


C.MN_WHZ R@H AFEEFWCNG < ?P=;?=. Kmpckch r`h fjlhorcqh axnorcfn t ; F ) T.0 mr ( 34 % =48 # mnb (=84 % 4#

: .w`mr c khmnr js ecnhmz tzfgzmkkcng tzfjehk

?. W`mr c mn Fjlhorcqh axnorcfn

CC.MN_WHZ R@H AFEEFWCNG < :P: ;2

2. Bzmw r`h gzmt` fa r`h Cn+h}xmecrch p ≨ 9s≨ 9 p≢ 9 p≢ 1 9s ≨ ? 9 s ≢ 1

8. Kcnckch a;?p):s% w`hn r`h qhzrcoh fa tfesgfn mzh (4%4#%(1%4#% (2%:= :Q #%(4%8#.

CCC.MN_WHZ R@H AFEEFWCNG < :P2 ;0

1. M _`ftihhthz hee nfr kfzh r`mn ?4 `czr fa hmo` ofefxz .Mr ehmr rwcoh m kmns W`crh fnh mzhfeb m gzhhn fnh .Ca r`h tzfacr fn r`h W`crh jh Z.:4 mnb r`mr fn gzhhn jh Z :8 .@fw kmns fa

hmo` icnb `fxeb jh feb rf gcqh `ck kmpckxk tzfacr.

7. Kmpckch a;?p)s xjlhor rf ofnrzmcnr p ≨4 9 s ≨ 4 9 0p )8 s ≢ 24 9 2p)?s ≢ =:.

CCC.MN_WHZ R@H AFEEFWCNG < :P8 ;=4

7. Kmpckch a;:p)?s xjlhor rf ofnrzmcnr p ≨4 9 s ≨ 4 9 p ) s ≢ 8 9 ?p)s ≢ 3.

0. M whhr `ft kmih gcar tmoihr fa whhr ofkjcnh rwf thocme rsth fa whhr M mnb J w`co`

whcg` 7ig. Mr ehmr ?ig fa M mnb nf kfzh r̀ mn 8ig fa J `fxeb jh xhb. R`h `ft kmih m tzfacr

fa Z=8 fn M mnb Z :4 fn J thz ig. Bhrhzkcnh r`h tzfbxor kcp f m rf fjrmcn kmpckxk tzfacr.


=. r`h qmexh fa mn fjlhorcqh axnorcfn A;p):s mr(4%3# c VVVVVVVVVVVVVVV

M# 4 J# =0 O# =3 B 3

:. .( +:%?# c cn VVVVVVVVVVVV }xmbzmnr

M# = J# : O# ? B# 2

?.R`h tfcnr w`co` bfh nfr ech cn r`h zhgcfn :p +?s > 8 c

M# (=%=# J# (?%+?# O# (+?%=# B# (+?.+=#

2.Acnb r`h tfcnr kcnckc|cng ―O‛ ca O; :4p ):8s

M# (=44%4# J# (4%=44# O# (=4%:4# B# (84%14#

8. Ca p>4%s54 ech cn VVVVVVVVVV }xmbzmnrM# = J# : O# ? B#2

Q.ACEE CN R@H JEMNI_< 7P » ; ? »

1. Cn m ecnhmz tzfgzmkkcng tzfjehk r`h hptzhcfn w`co` c rf jh kcnckchb fz kmpckchb c

omeehb VVVVVVVVVVV

7.Ca p>4%s54 ech cn VVVVVVVVVV }xmbzmnr

0. R`h infwehbgh fa ETT `het rf feqh r`h Tzfjehk cn VVVVVVVVVVVVVVVVVVVVV acheb

3 .R`h ecnh s;i c tmzmeehe rf VVVVVVVVVVVV

=4.R`h ecnh s;kp)o khhr s+mpc mr VVVVVVVV

==.R`h fexrcfn fa p s mnb p s c VVVVVVVV=:.R`h fexrcfn hr fa ofnrzmcnr fa ecnhmz tzfgzmkkcng c omeehb VVVVVVVVVVVVVV.

,,,,,,,




ZHQ_CFN RH_R ‟ K7

BMRH < =0 .== .:4== (KFZ.#


=.MN_WHZ R@H AFEEFWCNG < 8P=;8

=. _feqh p∜ + ; ∜ +Pw`hzh p>4

:. +S\"Y

; p:

9 r`hn acnb t

?. Hqmexmrh < eck↚. SU0.

2. _feqh < u: + √ 8u ; 7

8. _feqh < ^Fd ^ 5 2


1._`fw r`mr +Sobob . +obSob . +obobS ; p? ca m)j)o;4.

7.Hqmexmrh < eck↚0 ∜ S

0. Ca mp;j9 j

s;o 9 o

|;m 9 r`hn `fw r`mr ps|;=

3. Ca (12#p

;

.a ;:∜ : 9 r`hn `fw r`mr ?p)2s ;4


=4. Ca p ;4.= acnb Y =+(=+(=+ p?

#+=

#+=

[=&?

.

==. Ca s ; ∜ ?\)

∜ \ `fw r`mr ?s

?‟ 3s ;=4

=:. Ca

b\ )

l

b\ )

i

b\ ; 4 9R`hn `fw r`mr (m)j)o#

?;:7mjo.


=. .eck↚ ; VVVVVVVVVVV

M# 4 J# p O# B# =

:. . p) ;2 r`hn p+

; VVVVVVVVVVVV

M# : J# = O# 2 B# 1

?. Ca :p)?

;2p)=

9r`hn qmexh fa p;VVVVVVVVVVV

M# = J#: O# ? B# 2

2.(=1#=.:8

;

M# ?: J# 12 O# =1 B# 8&28 . Ca ∜ : ; =1 r`hn p ;

M# 0 J# 2 O# : B#=4


1. .Ca m:

; 4.442 %r`hn m?;VVVVVVVVVVVVVVV

7. eck ↚. Sd. ; VVVVVVVVVVV

0. ∜ ? ; 0= 9 r`hn p ; VVVVVVVVVVVVV

3. u+ ) =u 1 ⇚ VVVVVVVVVVVVVVV=4. eck↚

; VVVVVVVVVVVVVV

,,,,,,,




ZHQ_CFN RH_R ‟ K0

BMRH < ::.== .:4== (KFZ.#



=.Acnb r`h qmexhs fa p sf r`mr +:&7 .p. +7&: mzh r`zhh ofnshoxrcqh rhzks fa mn G.T.:.Ca r`h sxk fa r`h aczsr r`zhh rhzks fa mn M.T cs ?1% acnb r`h aczsr rhzk?. Acnb r`h sxk fa Aczsr =44 nmrxzme nxkjhzs.

CC.MN_WHZ R@H AFEEFWCNG < 8P: ;=4

2. Bhrhzkcnh I sf r`mr i): %2i+1 mnb ?i+: mzh r`h r`zhh ofnshoxrcqh rhzks fa mn M.T.8. R`h 8r` % 0r` % mnb ==r` rhzks fa mn G.T mzh t%}%mnb s zhsthorcqhe .s`fw r`mr }: ;ts1. W`co` rhzk fa r`h M.T cs =4%0%1%‡‡ cs +:0.

7. Cnshzr 8 mzcr`khrco khmns jhrwhhn 2 mnb ::.0. Acnb r`h sxk fa mee r`h nmrxzme nxkjhzs jhrwhhn = mnb =44 w`co` mzh kxerctehs fa ?.


3. Ca r`h sxk fa r`h aczsr n nmrxzme nxkjhzs cs _ = mnb r`mr fa r`h s}xmzhs cs _: mnb oxjhs _? %s`fw r`mr 3_:: ; _? (=)0_=#

==. Acnb r`h sxk fa n rhzks fa r`h shzchs =.? )?.8 )8.7 ) ‡‡‡‡..=:. Ca =7 rckhs r`h 7r` rhzk fa mn M.T cs h}xme rf == rckhs r`h ==r` rhzk .tzfqh r`mr r`h =0r` fa r`h

M.T cs |hzf.

CQ. O@FF_H R@H OFZZHOR MN_WHZ < 8P » ; : »=. .ca ∝ n ; p % r`hn ∝ n? ;M# p J# p: O# ∜ + B# :p:. r n ; n(n)=# r`hn r ? ;M# 3 J# 2 O# = B# =:

?. cn r`h M.T :=%:8% :3 ‡.% b; VVVVM# : J#2 O# ? B# 12.r`h M.K fa m+: %m % m): cs ‡..M# m J# m+: O# 2m+? B# m+=8 Ca m%j%o mzh cn G.T r`hn j&m; VVVM# j&o J# m&o O# m&j B#nfnh


1. Ca :% 0%2%........ mzh cn G.T r`hn ofkkfn zmrcf cs VVVVVVVVVVV7. 7r` rhzk cn r`h shzchs =%+=&:%=&2%....cs VV0. Ca ⅄n;=4 r`hn ⅄n?; VVVVVV3. Ca r`hzh mzh n mzcr`khrco khmn jhrwhhn m mnb j r`hn ofkkfn bcaahzhnoh ;VVVVVVVV=4. m%m)b%m):b%....r`hn r n ;VVVVVVVVVVVV

,,,,,,,




ZHQ_CFN RH_R ‟ K3

BMRH < :2.== .:4== (Hqh.#



=.Acnb r`h sxk fa aczsr 0 rhzks fa ?%1%=:‡‡‡.:. Acnb r`h sxk rf cnacncr fa r`h G.T 8 %:4&7 .04&23 ‡‡‡?. Acnb r`h sxk rf =4 rhzks =%:&?%2&3 ‡‡‡‡‡.


2. Cnshzr 2 @mzkfnco khmns jhrwhhn =&=: mnb =&2:.

8. Ca g= %g: %g?% mzh r`zhh ghfkhrzco khmns jhrwhhn k mnb n s`fw r`mr g= . g? ;g:: ;kn1. ∝ (: ) ? D # √= w`hzh l ;=%:%?%‡.17. tzfqh M.K % G%K mnb @.K fa m mnb j mzh cn G.T.0. Bhrhzkcnh r`h =:r` rhzk fa G.T w`fsh 0r` rhzk cs =3: mnb ofkkfn zmrcf cs :.


3. Acnb r`h sxk rf n rhzks fa r`h shzchs 4.8)4.88)4.888)‡.. n rhzks==. Ca (j)o# % (o)m# mnb (m)j# mzh cn @.T . _`fw r`mr =

m: % =

j: % =: wcee mesf jh cn @.T

=:. R`h M.K % G%K mnb @.K fa rwf nxkjhzs cs M%G% @ zhsthorcqhe s`fw r`mr M> G> @ .

CQ. O@FF_H R@H OFZZHOR MN_WHZ < 8P » ; : »=. . ghfkhrzco khmn fa 8 mnb =:8 VVVVVVVVM# =:8 J# 8 O# 1:8 B# :8

: @.K fa : mnb 1M# ? J#2 O# 8 B# ∜ =:

?. ca ∝ n ; p % r`hn ∝ n? ;M# p J# p: O# ∜ + B# :p

2. r`h n r` rhzk fa m G.T cs :(4.8#n+= % r`hn r`h ofkkfn zmrcf cs VVVVVVVVVVVVM# = J# 4 O# =&: B# 88 Cn m G.T. m;: % s ;1 % r`hn z;

M# 2&3 J# :&? O# 2&? B#?&2Q.ACEE CN R@H JEMNI_< 8P » ; : »

1. Ca rn ; )=

r`hn r:4== ;VVVVVVVVVV7. Aczsr rhzk fa mn M.T cs ‐m– 9 ofkkfn bcaahzhnoh cs ‐b– r`hn =8r` rhzk fa @.T cs VVVVVVVVVVVVV0. R`h @.K;:% M.K;0 r`hn G.K; VVVVVVVV3. Ca =&m%=&j% =&o mzh cn @.T r`hn j;VVVVVV=4. r`h ofkkfn zmrcf fa r`h G.T »% +=&2 %=&0 %+=&=1 %........cs VVVVVVVVVVVVV

,,,,,,,




GZMNB RH_R +:

KMR@HKMRCO_


OEM__< P

BMRH < =1 .=: .:4== (KFZ.# TMZR+M( KMP. KMZI_ <?8# RCKH : » @Z_.

_HORCFN+C 8P: ;=4

Nfrh< =.Mnswhz MNS ACQH }xhsrcfns o`ffscng mr ehmsr RWF azfk hmo` gzfxt:.Hmo` }xhsrcfn omzchs : kmzis.

GZFXT+M

=.Ca r`h 0r` rhzk fa mn M.T cs =7 mnb =3r` rhzk cs ?3 Acnb :8r` rhzk.

:.Cnshzr ? ghfkhrzco khmns jhrwhhn 2 mnb 12.

?. Hqmexmrh eck+↚ ∜ +) √ ∜ :

+√

2. s`mbh r`h zhgcfn zhtzhshnrhb j r`h cn+h}xmrcfn 2p)? ≨ =:

GZFXT+J

8 s`fw r`mr eck+↚ : Y

=

+√:√

=

+(+√=#(+√:#[

1. .Hqmexmrh < eck+↚4 ] =)+)+:√ =

+

7. R`h 2r` rhzk fa @.T cs =&3 mnb r`h ==r` rhzk cs =&:?. Acnb r`h shzchs.

0. Bzmw r`h gzmt`s fa r`h cn h}xmecrchs p ≨ = % ≨ = % p ≢? %≢ ?

_HORCFN+CC 2P=;2

NFRH< Mnswhz MNS AFXZ fa r`h afeefwcng

Hmo` }xhsrcfn omzzchs = Kmzi.

3.Acnb _∞ fa r`h G.T +?&2 %?&=1 %+?&12%‡‡‡..

=4. Acnb r`h qmexhs fa p sf r`mr +:&7 .p. +7&: mzh r`zhh ofnshoxrcqh rhzks fa mn G.T..

==. Ca ?u+u)8 ; 3u+u _`fw r`mr p ; +8 fz )8

=:. Hqmexmrh eck+↚ ∞:p)??+)8

=?. Bhacnh Csf tzfacr ecnh

=2. W`mr cs khmnr j fthn ofnqhp tfegfn.



_HORCFN+CCC 2P2;=1

NFRH< Mnswhz mn AFXZ fa r`h afeefwcng o`ffscng mr ehmsr RWF azfk hmo` gzfxt.

Hmo` }xhsrcfn omzchs 2 Kmzis.

GZFXT+M

=8. Acnb r`h sxk fa r`h shzchs =.: ):.? )?.2 )‡‡.

=1. Ca mp ; j ; o| mnbl ;

il s`fw r`mr

+ ;

:+√

=7. M swhhr s`ft kmihs gcar tmoihr fa swhhrs ofkjcnhs rwf sthocme rths fa swhhrs M mnb J w`co`whcg` 7ig. Mr ehmsr ?ig fa M mnb nf kfzh r`mn 8ig fa J s`fxeb jh xshb. R`h s`ft kmihs m tzfacr fa Zs=8 fn M mnb Zs :4 fn J thz ig. Bhrhzkcnh r`h tzfbxor kcp sf ms rf fjrmcn kmpckxk tzfacr

=0. Cnshzr 8 ghfkhrzco khmns jhrwhhn =&? mnb :2?.

GZFXT+J

=3.Acnb r`h sxk fa n rhzks fa r`h tzfgzhsscfn 7%77%777%‡‡‡..:4. Ca r`h sxk fa r`h aczsr n nmrxzme nxkjhzs cs _= mnb r`mr fa r`h s}xmzhs cs _: mnb oxjhs _? %

s`fw r`mr 3_:: ; _? (=)0_=#

:=. . Ca e k n ;= s`fw r`mr =

=))q√= )=

=)q)√= )=

=))√=

::. Ca ; ∜ ?? )

=

∜ ?? s`fw r`mr ?? ‟ 3 ;=4

_HORCFN+CQ =P8;8

NFRH< Mnswhz mn FNH fa r`h afeefwcng

]xhsrcfn omzzchs 8 Kmzis

:?. Kmpkcsh a ; 8p)7 sxjlhor rf r`h ofnbcrcfns :p)?≢ =: %?p )≢ =: mnb p≨ 4 mnb ≨ 4.

:2M _`ftihhthz shees nfr kfzh r`mn ?4 s`czrs fa hmo` ofefxz .Mr ehmsr rwcoh ms kmn W`crh fnhs mzhsfeb ms gzhhn fnhs .Ca r`h tzfacr fn r`h W`crh jh Zs.:4 mnb r`mr fn gzhhn jh Zs :8 .@fw kmn fa hmo` icnb s`fxeb jh sfeb rf gcqh ̀ ck kmpckxk tzfacr.

,,,,,,,




GZMNB RH_R +:KMR@HKMRCO_





=.Acnb r`h tfcnr kcnckc|cng fa ―O‛ . ca O; :4p):8 Y [M# (=44%4# J# ( 4%=44# O# (=4%:4# B# (84%14#: R`h tfcnr echs cn r`h `mea temnh p) 5? cs Y [M#(=%=# J# (:%:# O# (?%?# B# (2%2#?. Ca R`h tfcnr bfhs nfr jhefng rf p+ ): %4 cs Y [M# (:%?# J#(+?%8# O# (4%1# B#(+:%=#2. ?. Ca :p)?;2p)= 9r`hn qmexh fa p;VVVVVVVVVVV Y [M# = J#: O# ? B# 28 . Ca ∜ 2+ ; =1 r`hn p ; Y [M# 0 J# 2 O# : B#=4

1. =1=.:8

; Y [M# 0 J# =1 O# :4 B# ?:7. .ca m=&?)j=&?)o=&? ;4 r`hn (m)j)o#? ; Y [M#?mjo J# ?(mjo#=&? O# 3mjo B#:7mjo0.p54 9 >4 9(p% # echs cn r`h }xmbzmnr Y [M#]= J# ]: O# ]? B#]2 3. .Ca 7 rckhs 7 r` rhzk fa M.T ; == rckhs == r` rhzk % r`hn =0 r` rhzk ; VVVV Y [M# 7 J# =0 O# == B# 4

=4. @.K fa : mnb 1 Y [M# ? J#2 O# 8 B# ∜ =:

CC. Acee cn r`h jemnis wcr` sxcrmjeh mnswhzs .==. ∜?p ; 0= r`hn r`h qmexh fa +: ; VVVVVVV=:. .eck+↚4 +)=4+

+ ; VVVVVV=? ca p) % p+ % p+?%‡‡ mzh cn M.T % r`hn r`h =8r` rhzk cs VVVVVVVVVVVVVV=2. R`h gzmt` fa ;p: cs VVVVVVVVV=8 R`h oxzqh ;:p: gfhs r`zfxg` r`h }xmbzmnrs VVVVVVVVVVVVVVVVV=1.A;mp ) j cs omeehb VVVVVVVV=7. Ca p%%| mzh cn M.T r`hn : ; VVVVVVVVVV=0 _xk rf n rhzks fa r`h shzchs (m)=#) (m):#)(m)?#)...........cs VVVVVVVVVVVVV=3. R`h @.K;:% M.K;0 r`hn G.K; VVVVVVVV:4. .r`h kfbxexs fa m zhme nxkjhz cs nhqhz VVVVVVVVVVVVVVVVV

=8




(c# Gzfxt ‟ M Gzfxt ‟ J:=.R`h qmexh fa a;:p) Mr r`hcnrhzshorcfn Tfcnr fa p;: mnb p;? Y [ M# +?::.ca p)= ;: 9 r`hn p; Y [ J# ?:?.efg+↚ =

+ Y [ O#2:2.Ca r`h aczsr mnb 2r` rhzks fa ms G.T

mzh = mnb :7 Zhsthorcqhe %r`hn r`h Y [ B#7ofkkfn zmrcf z;:8.Cn mn M.T %ca 2rckhs fa 2r` rhzk cs h}xme rf 8rckhs Y [ H#48r` rhzk VVVrhzk cs |hzf A# 3r`

G#=4r`


:1.R`h mzcr`khrco khmn fa 8 mnb 08 Y [ M# o`fzb:7.R`h eckcrcng tfscrcfn fa m shomnr fa m oczoeh cs Y [ J#CC ! CQ:0.Ca p; +0 9r`hn u √ :u ; Y [ O#C ! CQ:3.R`h oxzqh p;:: gfhs r`zfxg` r`h }xmbzmnrs Y [ B#==?4. ί n ; 11 r`hn n; Y [ H# rmnghnr

A#8 fz +:

G# 28,,,,,,,,




ZHQ_CFN RH_R ‟ K=4

BMRH < 4=.=: .:4== (Kfzn.#



=.Acnb r`h of+fzbcnmrhs fa r`h ohnrzcfb fa r`h rzcmngeh w`fsh qhzrcohs mzh (+2%2# %(+:%:#mnb (1%=:#.:. Acnb r`h p+cnrhzohtr fa r`h h}xmrcfn :p)?+8;4?. Acnb r`h sefth fa r`h ecnh kmicng mn mngeh =84f cn r`h tfscrcqh bczhorcfn fa p+mpcs.2. Acnb r`h of+fzbcnmrhs fa r`h ohnrhz fa r`h oczoeh `mqcng r`h tfcnrs (3%?# mnb (=%+=# ms r`h hnb

tfcnrs fa r`h bcmkhrhz.8. Acnb r`h sefth fa r`h ecnh thzthnbcoxemz rf r`h ecnh :p)?)8;4.


1. Cn w`mr zmrcf bfhs T (2%1# bcqcbh r`h lfcncng fa M(+:%?# mnb J(1%7# 7. Acnb r`h tfcnr fn P+mpcs w`co` cs h}xcbcsrmnr azfk(:%?# mnb (2%+:#..0. Acnb r`h of+fzbcnmrhs fa m tfcnr T w`co` bcqcbhs M(:%4# 9J(4%?# cnrhznmee cn r`h zmrcf :<? .3. Cn w`mr zmrcf cs r`h shgkhnr lfcncng r`h tfcnrs (+?%:# mnb (1%=# bcqcbhb j S+mpcs.


=4. Acnb r`h offzbcnmrhs fa r`h tfcnr fa rzcshorcfn fa m shgkhnr lfcncng M(+?%:# mnb J(3%8#.==. ca r`h rzcmngeh afzkhb wcr` M(0%+=4# J(7%+?# mnb O(4%t# cs mzcg`r ‟mngehb rzcmngeh wcr`

zcg`r mngehb mr J .Acnb t.=:. _`fw r`mr M(+?%+:# J(?%:# mnb O(+:∜ ? %?∜ ? # afzk mn h}xcemrhzme rzcmngeh. .

CQ.ACEE CN R@H JEMNI_< 8P » ; : »

=.R`h sefth fa m ecnh ;8p)? cs VVVVVVVVVVVVVVVVVV:. R`h ecnh ;kp)o Oxrs S+mpcs mr VVVVVVVVVVVVV?.R`h ecnh ;8 cs tmzmeehe rf VVVVVVVVVVVVV2. R`h sefth fa P+mpcs cs VVVVVVVVVVVVVV8.R`h ecnh ;kp tmsshs r`zfxg` VVVVVVVVVVVVVVVV1.R`h sefth fa ecnh lfcncng (2%1# mnb (:%+8# cs VVVVVVVVVVVVVVVVV7.Rwf ecnhs mzh tmzmeehe % ca r`hcz sefths mzh VVVVVVVVVVV

0. Rwf ecnhs mzh thzthnbcoxemz % r`hn r`hcz VVVVVVVVVVVVV3. H}xmrcfn fa p+mpcs cs VVVVVVVVVVVVVVVVVV=4. Kcb tfcnr fa r`h ecnh lfcncng M(0%2# % J(1% +:# cs VVVVVVVVVVVVVV

,,,,,,,




ZHQ_CFN RH_R ‟ K==

BMRH < 48.=: .:4== (Kfzn.#



=.Acnb r`h sefth fa r`h ecnh tmzmeehe rf ?p+:)=;4:. Acnb r`h ecnh thzthnbcoxemz rf r`h ecnh :p+?;=:?. Acnb r`h sefth fa r`h ecnh kmicng mn mngeh =84f cn r`h tfscrcqh bczhorcfn fa p+mpcs.2. Acnb r`h mzhm fa r`h rzcmngeh w`fsh qhzrcohs mzh (?%4#9 (4%2# mnb (4%4#.8. Acnb r`h sefth fa r`h ecnh p&m ) &j ;=.


1.Acnb r`h h}xmrcfn fa r`h ecnh tmsscng r`zfxg` r`h tfcnr (?%8# wcr` sefth cs 7&?.

7. Acnb r`h h}xmrcfn fa r`h ecnh tmsscng r`zfxg` r`h tfcnr (?%2# mnb cs tmzmeehe rf :p+? ;==.0. Acnb r`h mzhm fa r`h rzcmngeh sf afzkhb j r`h mphs mnb ecnh tmsscng r`zfxg` r`h tfcnrs

(0%+?# mnb (+2%=:# .3. s`fw r`mr r`h tfcnrs mzh ofeecnhmz M(=%:# %J(+?%2# mnb O(7%+=#.


=4. Acnb r`h h}xmrcfn fa r`h ecnh r`mr oxrs faa cnrhzohtrs m mnb j fn p mnb +mpcs sxo` r`mr m)j;? mnb mj;:.

==Acnb r`h h}xmrcfn fa r`h ecnh thzthnbcoxemz rf r`h ecnh lfcncng (?%+8# 9(8%7# mnb tmsscng r`zfxg`(:%+?#

=:. _`fw r`mr M(+?%+:# J(?%:# mnb O(+:∜ ? %?∜ ? # afzk mn h}xcemrhzme rzcmngeh. .


=.R`h mzhm fa r`h rzcmngeh w`fsh qhzrcohs mzh (4%4# 9(=%4# 9(4%=# cs VVVVVVVVVVVVV:. R`h sefth fa r`h ecnh ;8 cs VVVVVVVVVVVVVVVV?.Acnb r`h sxk fa r`h cnrhzohtrs kmbh j ?p)2;=: fn r`h mpcs VVVVVVVVVVVVVV.2. VVVVVVVVVVVVVVVVVVVVVV m Azhno` kmr`hkmrcocmn cnrzfbxohb mnmercome ghfkhrz .8.R`h h}xmrcfn fa r`h ecnh tmsscng r`zfxg` rwf tfcnrs M(p= %=# J (p: %:# cs VVVVVVVVVVVVVVVVV1.R`h sefth fa ecnh ; :p+? VVVVVVVVVVVVVVVVV7.R`h sefth fa r`h ecnh lfcncng r`h tfcnrs (?%:# mnb (2%i# cs : r`hn i; VVVVVVVVVVV0. R`h h}xmrcfn fa +mpcs cs VVVVVVVVVVVVVVVVVVVVVV

3. sefth cnrhzohtr afzk fa r`h h}xmrcfn cs VVVVVVVVVVVVVVVVVV=4. Cnrhzohtr afzk fa m ecnh cs VVVVVVVVVVVVVV

,,,,,,,




ZHQ_CFN RH_R ‟ K=:

BMRH < 40.=: .:4== (KFZ.#



=.Acnb r`h qmexh fa scn: ?4 )ofs: 14.:.Hptzhss cn zmbcmn khmsxzh< =?8?Hptzhss r`h oczoxemz khmsxzh cn shpmghsckme khmsxzh <

?τ2


2.Azfk r`h mblfcncng acgxzh wzcrh bfwn r`h qmexh fa shoM9 rmnO 9_hoO 9_ho: O+rmn: O8. Gcqhn r`mr 8scnM ;? Acnb _ho: M ‟ rmn: M1. Ca rmn(M)J# ; mnb rmn M ;= .W`mr cs r`h khmsxzh fa J.

7. _`fw r`mr ofs 14 ;=√D D D : ?4

=)D D D : ?4.

0. M embbhz kmihs mn mngeh 14 wcr` r`h aeffz .Crs efwhz hnb cs mr m bcsrmnoh fa ?krs azfk r`h wmee .Acnb r`h ehngr` fa r`h embbhz.


3. Acnb r`h qmexh fa ?: ofr : p2

+ 0 sho: p?

)0 ofr ? p1

==. tzfqh r`mr 2(scn2 ?44 )ofs2 144 #+ ?(ofs: 284 ‟scn: 344 #; :

=:. Gcqhn r`mr 2 ofrM ;? 9 AcnbscnM)ofsM

scnM√ofsM .


=. of prmn ; VVVVVVVVVVVVVVV M# of J# cn O# rmn B# =: of

| ; VVVVVVVVVVV

M# : &∜ ? J# ∜ ? &: O# =&: B# :

?. :744

;VVVVVVVVVVVzmbcmn

M#p1

J#:p1

O#?p:

B#:p?

2. .fnh zmbcmn ; VVVVVVVVVVVVV bhgzhh M# 28 J# 14 O# 34 B# =048. 28

4; VVVVVVVVVVVVVV zmbcmn

M#p2

J#p1

O#p:

B#p?


1. Rmn:

844

‟ ho:

844

;VVVVVVVVVVVVV 7. cn ;=&: r`hn ofr ;VVVVVVVVVVV 0. cn?4 ) of 14 ; VVVVVVVVVVVV 3 . cn34 p of4 p rmn28 ;VVVVVVVVVVVVV+ =4 Ca rmn;?&2 r`hn cn; VVVVVVVVVVVV

,,,,,,,



MQMNR@C @CG@ _O@FFE

@XNRHZ ZFMB @NI

ZHQ_CFN RH_R ‟ K=?

BMRH < =4.=: .:4== (Hqh.#


C.MN_WHZ R@H AFEEFWCNG < ?P:;1

=._`fw r`mr sho: )ofsho: ; sho: ofsho:

:. _`fw r`mr ofs

=)scn ;=√scn

ofs

?. Ca m; pofs ) scn mnb j; p scn ‟ofs fjrmcn r`h zhemrcfn cn p mnb j heckcnmrcng .

CC.MN_WHZ R@H AFEEFWCNG < ?P2 ;=:2. _`fw r`mr Ofs1 )scn1 ; =+? scn: ofs: 8. tzfqh <

rmnΰ)shΰ√=rmnΰ√shΰ)= ;

=)scnΰfsΰ

1. Ca ho )rmn ;t %`fw r`mr cn ;YSYS

CCC.MN_WHZ R@H AFEEFWCNG < :P8 ;=47. Mn mhzf temnh mr mn mercrxbh fa :844 kr . fjhzqh r`h mngeh fa bhtzhcfn fa fttfcrh tfcnr fn r`h rwf jmni

fa r`h zcqhz rf jh 2=4:4– mnb 8:

4=4– . acnb r`h wcbr` fa r`h zcqhz. (Rmn 2=

4:4–;4.0738 . rmn 8:

4=4– ; =.:077#

0. R`hzh mzh rwf rhktehs % fnh fn hmo` jmni fa m zcqhz % lxsr fttfscrh rf hmo` fr`hz% ‐ fnh fa r`h

rhktehs M cs 24 krs `cg`. Ms fjshzqhb azfk r`h rft fa r`cs rhkteh M % r`h mngehs fa r`h bhtzhsscfnfa r`h rft mnb affr fa r`h fr`hz rhkteh J mzh =:.?4– mnb :=.20– zhsthorcqhe .Acnb r`h wcbr` fa r`hzcqhz mnb r`h `hcg`r fa r`h rhkteh J.

Q.ACEE CN R@H JEMNI_< 2P » ; :

=. of(M)J# ;VVVVVVVVVVVVVVVV :. cn2:4

4; VVVVVVVVV

?. Ca cn: ; of? r`hn ofr8 ;VVVVVVVVV 2 p; mho %s;m rmn r`hn p

:+s

:;VVVVVVVV

,,,,,,,



MQMNR@C @CG@ _O@FFE

@XNRHZ ZFMB @NIZHQ_CFN RH_R ‟ K=2

BMRH < =2 .=: .:4== (KFZ.#



=.Bhacnh Megfzcr`k.

:.W`mr c m Aefw O`mzr.

?. Hptmnb O.T.X.2. W`mr c khmnr js `mzb wmzh.

8. _rmrh mns afxz Emngmxgh sfx `mqh infwn r`mr mzh xhb cn ofktxrhz.


1. Bzmw r`h rzxorxzh fa r`h ofktxrhz mnb wzcrh cn bhrmce.

7. W`mr mzh r`h bcaahzhnr jfph xhb cn m aefw o`mzr6 Wzcrh r`hcz axnorcfn cn bhrmce.

0. W`mr mzh r`h rsth fa fthzmrcfn m ofktxrhz thzafzk.

3. W`mr c khmnr js rht+ wch zhacnhkhnr.


=4. Bzmw m aefw o`mzr afz feqcng mn h}xmrcfn mp:

) jp )o ; 4 ofncbhzcng mee tfcjeh omh.

==. Gftme txzo`mhb m zmbcf hr afz Z.844 mnb feb cr afz Z 144 Hphoxrh m aefw o`mzr xcng r̀ c bmrm rf

bhrhzkcnh ef fz gmcn.

=:.Ca T ; Z =444 9 z;=: r`hn bzmw r`h aefw omzr rf omeoxemrh r`h mkfxnr afz 1 shmz .


=. Qmooxk rxjh mzh xhb cn VVVVVVVVV ghnhzmrcfn fa ofktxrhz

M# afxzr` J# Aczr O# _hofnb B# R`czb

:. _kmee rzmncrfz mzh xhb cn r`c ghnhzmrcfn fa ofktxrhz.

M# afxzr` J# Aczr O# _hofnb B# R`czb

?.R`h emngxmgh r`h ofktxrhz xnbhzrmnb c omeehb

M# efw ehqhe emngxmgh J# @cg`hz emngxmgh O# ofktxrhz emngxmgh B# xnbhzrmnb emngxmgh

2. m xncr r`mr thzafzk mzcr`khrcome fthzmrcfn cn O.T.X c

M# K.X J# O.X O# M.X B# M.E.X

8. R`h Xncr r`mr gmcn zhxer azfk O.T.X c

M# ofnrzfe xncr J# Cntxr O# Fxrtxr B#efwtxr


1. amr`hz fa r`h ofktxrhz c VVVVVVVVVV

7. mee tmzr fa r`h ofktxrhz mzh ofnrzfeehb js VVVVVVVVVVVV

0 mee cnafzkmrcfn c rfzhb cnVVVVVVVVV xncr fa r`h ofktxrhz.

3. VVVVVVVVVVVVV whzh xhb cn afxzr` ghnhzmrcfn fa ofktxrhz.=4. khr`fb fa m feqcng m tzfjehk c omeehb VVVVVVVVVVVVV

,,,,,,




GZMNB RH_R +?

KMR@HKMRCO_


OEM__< P

BMRH < =1 .=: .:4== (KFZ.# TMZR+M( KMP. KMZI_ <?8# RCKH : » @Z_.

_HORCFN+C 8P: ;=4


GZFXT+M

=.Acnb r`h qmexh fa t % ca r`zhh tfcnrs M(t%:#9 J(+?%2#9mnb O(7%+=# mzh ofeecnhmz..:.Acnb r`h h}xmrcfn fa r`h ecnh tmsscng r`zfxg` r`h tfcnr (=%+=# mnb cs tmzmeehe rf :p+?;==..?. Acnb r`h qmexh fa scn88 24– azfk r`h rmjeh.

Bhg&kcn f 1 =: =0 :2 ?4 ?1 2: 20 82 = : ? 2 888 4.0=3: 0:8= 0:1= 0:7= 0:0= : ? 8 7 0

2. W`mr mzh r`h bcaahzhnr rsth fa r`h jfph r`mr mzh xhb cn Aefwo`mzr. Bhozcjh r`hcz axnorcfn cn

bhrmce.

GZFXT+J

8. Tzfqh r`mr sho: ) ofsho: ; sho: . ofsho: 1. Acnb r`h qmexh fa ?: ofr :

p2

+ 0 sho: p?

)0 ofr ? p1

7. Cn w`mr zmrcf T(2%1# bcqcbh r`h lfcncng fa M(+:%?# mnb J(1%7# .0. W`mr s`fxeb jh ihtr cn kcnb w`ceh wzcrcng mn Megfzcr`k.

_HORCFN+CC 2P=;2

NFRH< Mnwhz MNS AFXZ fa r`h afeefwcng

Hmo` }xhsrcfn omzzchs = Kmzi.

3.Acnb r`h sefth fa r`h ecnh thzthnbcoxemz rf 8p+:)2;4=4. Acnb r`h of+fzbcnmrhs fa r`h ohnrhz fa r`h oczoeh `mqcng r`h tfcnrs (3%?# mnb (=%+=# ms r`h hnbtfcnrs fa r`h bcmkhrhz.

==. p; m scn 9 ;ofs % Heckcnmrh =:. Ofnqhzr :744 cnrf oczoxemz khmsxzh.=?.Bhacnh Aefw o`mzr.=2. W`mr mzh r`h hsshnrcme ofktfnhnrs fa r`h ofktxrhz.



_HORCFN+CCC 2P2;=1



GZFXT+M

=8. Acnb r`h h}xmrcfn fa r`h ecnh w`fsh sefth cs 2&8 mnb w`co` jcshors r`h ecnh lfcncng r`h tfcnrst(=%:# mnb ](2%+?#

=1. Ca sho )rmn ;t %s`fw r`mr scn ;:√=

:)=

=7. tzfqh <

rmnΰ)shoΰ√=

rmnΰ√shoΰ)= ;

=)scnΰ

ofsΰ =0. Bzmw m aefw o`mzr rf acnb r`h qmexh fa r`h tzfbxor fa r`h aczsr n nmrxzme nxkjhzs..

GZFXT+J

=3. Ca r`h mzhm fa rzcmngeh afzkhb wcr` r`h qhzrcohs (r%:r#9(+:%1#9 (?%=#. Cs 8 s} xncrs % r`hn acnb r.

:4. Gcqhn scn ;=8

=79 Hqmexmrh <

=8frΰ)=scnΰrmnΰ)=1shoΰ

.

:=.Acnb r`h h}xmrcfn fa r`h ecnh tmsscng r`zfxg` (2%?# mnb kmicng cnrhzohtrs fn r`h of+fzbcnmrhmphs w`fsh sxk cs +=.

::. Wzcrh mn megfzcr`k mnb bzmw m aefwo`mzr rf tcoi r`h emzghsr fa r`h r`zhh gcqhn nxkjhzs._HORCFN+CQ =P8;8



:?. Rwf jfs mzh fn fttfscrh scbhs fa m rfwhz fa =44krs `hcg`r .R`h khmsxzh r`h mngeh fa hehqmrcfnfa r`h rft fa r`hz rfwhz ms ?4 mnb 28 zhsthorcqhe. Acnb r`h bcsrmnoh r`zfxg` w`co` r`h jfs mzhshtmzmrhb.

:2. R`h xtthz tmzr fa m rzhh % jzfihn j wcnb cnrf rwf tmzrs% kmihs mn mngeh fa ?4 wcr` r`h gzfxnb.R`h rft fa r`h rzhh rfxo`hs r`h gzfxnb mr m bcsrmnoh fa :4krs azfk r`h affr fa r`h rzhh. Acnb r`h`hcg`r fa r`h rzhh jhafzh cr wms jzfihn.

,,,,,,,




GZMNB RH_R +?

KMR@[email protected] NF ! NMKH CNQCGCEMRFZ _CGN




=.R`h ecnh ?p)2;4 cnrhzshors +mpcs mr Y [M# (4%?# J# ( 4%2# O# (4%4# B# (?%2#: R`h tfcnr fa cnrhzshorcfn fa r`h ecnh ;:p)= mnb ;?p+: cs Y [M#(?%7# J# (8%=?# O# (2%=4# B# (:%8#?. Acnb r`h sxk fa r`h cnrhzohtrs kmbh j ?p)2;=: Y [M# 2 J# 7 O# ? B# :2. R`h sefth fa r`h tfcnrs (+m%m# mnb (4 %m)m ∜ ? # Y [M# ∜ ? J#=&∜ ? O# :m B# 48 . Ca scn(34+ #;= r`hn ; Y [M# 4 J# 28 O# 14 B#34

1. ca sho )rmn ;2 r`hn sho +rmn Y [M# 2 J# ? O# =&2 B# =17. scn: 3 )scn: 0= ; VVVVVVVV Y [M#= J# 4 O# =&: B# ∜ ?&:0.M rth fa jfp xshb cn aefw o`mzr cs Y [M#_horfz J# Zhormngeh O# thnrmgfn B#Bhomgfn3. Mee tmzrs fa r`h ofktxrhz mzh ofnrzfeehb j Y [M# cntxr J# Fxrtxr O# Khkfz xncr B# O.X

=4. qmooxk rxjhs mzh xshb cn Y [M# Afxzr` J#Aczsr O# _hofnb B# R`czb

CC. Acee cn r`h jemnis wcr` sxcrmjeh mnswhzs .==. rmn P VVVVVVVVVVVVV ; scn =:. Ofs ?14 ;VVVVVVVVVVVVVV=?. Ca Ofs ; ∜ ?&: r`hn scn ;VVVVVVVVVVVVVVVV=2. Rmn(M)J#; ? rmnM;= r`hnJ;VVVVVVVVVV

=8. R`h h}xmrcfn fa r`h ecnh tmcng r`zfxg` (=%=# mnb (4%4# c VVVVVVVVVVVVVVV =1. R`h ecnh s;kp)o cnrhzhor r`h s+mpc mr VVV =7. R`h efth fa r`h ecnh p&m)s&j;= c VVVVVVVV =0 .VVVVVVVVVVVVV+ whzh xhb cn afxzr` ghnhzmrcfn fa ofktxrhz =3. VVVVVVVVVVVVV c m bhcgn fz temn fa fjrmcncng m fexrcfn rf r`h tzfjehk :4. cntxr%fxrtxr%otx mzh VVVVVVVVVV fa ofktxrhz.

=8




(c# Gzfxt ‟ M Gzfxt ‟ J:=. ho ) rmn ;

r`hn ho ‟ rmn ; Y [ M# =

::. Ca of ;cn r`hn Y [ J# :

:?. ho:

14 ‟ rmn:

14; Y [ O# =&:

:2.of 4 ‟ cn 34 ; Y [ B# p:

:8.rmn 28 ) ofr 28 ; Y [ H#p

A# 4

G#34

@#28


:1 . R`h h}xmrcfn fa r`h ecnh tmcng r`zfxg` Y [ M# +?&:M (p= %s= # J(p: %s: # c

:7. R`h efth fa p&:)s&?;= Y [ J# (s+s=# ;T T (p+p=#

:0. R`h tfcnr+ efth fa h}xmrcfn Y [ O# =&:

:3. R`h efth fa p ;:s . Y [ B# 4

?4.R`h efth fa p+ mpc Y [ H# s; kp)o

A# (s+s=# ; k(p+p=#

G# (s=+s# ; k(p=+p# ,,,,,,,,





BMRH < :4 .=: .:4== (KFZ.#


C.MN_WHZ R@H AFEEFWCNG < :P=;:=.Khnrcfn r`h tzfthzrch fa ckcemz rzcmngeh.

:._rmrh r`h merhznmrh hgkhnr r`hfzhk.


?.Cn Z`fkjx MJOB % tzfqh r`mr MJ:

)JO:

)OB:

)BM:

; MO:

)JB:

;2 MJ:

2.Tzfqh r`mr rmnghnr mr r`h hnb fa r`h bcmkhrhz mzh tmzmeehe.


8. _rmrh mnb tzfqh ofnqhzh fa Tsr`mgfzhmn R`hfzhk.

1._rmrh mnb Tzfqh jmco tzftfzrcfnmecrs R`hfzhk.

7. _rmrh mnb tzfqh Tsr`mgfzhmn R`hfzhk.

CQ.MN_WHZ R@H AFEEFWCNG < :P8 ;=4

0. Ofnrzxor m rzcmngeh MJO cn w`co` JO;8ok % ∤M ;744

mnb r`h Khbcmn MB;?.8ok

3.Ofnrzxor m osoeco }xmbzcemrhzme MJOB w`hzh MJ ;?ok 9 JO;1ok 9 MO;2ok mnb MB;:ok

Q.ACEE CN R@H JEMNI_< 2P » ; :

=. Cn MJO% JO:) MJ

:;MO

:%r`hnVVVVVVVVVVc m zcg`r mngeh

:. Ca rwf oczoeh rfxo` cnrhznmees %r`hn r`h nxkjhz fa r`hcz ofkkfn rmnghnrVVVVVVVV

?.

∁MJO T]Z9 MJ;?.1ok%T];:.2ok% MO;0.= %r`hn TZ;VVVVVVVVVVVV

2. ∁MJO BHA M;844% ∤J;144 r`hn Z;VVVVVVVVVVVVVV

,,,,,,,





BMRH < :?.=: .:4== (Kfzn.#



=. Ca M; : √1 8" J; √?8 " acnb ?M):J

:. Ca M; = ?8 1" acnb r`h qmexh fa M) MR

?. Ca ₥? : 8• ; ₥ li “• ₥= =• r`hn acnb r`h qmexhs fa m%j%o%b.

2. Ca M; ₥= • J ; ₥ =• r`hn acnb MJ

8. Ca M ;

₥= √=•

r`hn acnb MPM .


1. Ca K p = : 8" ; Y : ? [ Acnb r`h fzbhz fa K mnb bhrhzkcnh K

7. Ca ƚ?+): 1: :+ √ ?„ ; ₥8 1: √=• Acnb r`h qmexhs fa p mnb

0. Ca Y + s [ ₥ li “• ; Y 1 = [ r`hn acnb p mnb s

3. M ; ₥= √=• 9 J ; ‡: q √

.․ Acnb k Ca MJ;JM


=4. M ; = √=: √=" 9 J; : ?= :" r`hn `fw r`mr (MJ#+=

;J+=

M+=

==. Ca M; ₥ li “• mnb C; ₥= =• `fw r`mr M:+ (m ) b#M ; ( jo+mb#C

=:. Gcqhn r`mr M ; ₥=: √= • 9 J ; 2=

. Acnb r`h kmrzcp T % smrcsacng M P T ; J .


=. wzcrh mn hpmkteh afz omemz kmrzcp VVVVVVV :. .Zfw mnb ofexkn fa r`h kmrzcp M mzh cnrhzo`mnghb r`hn r`h nhw kmrzcp c omeehb VVVVVVVVV

?. Cbhnrcrs ?p? kmrzcp c VVVVVVVVVV

2. M ;Y8 :[ 9 J ; Y+ [ r`hn MJ; VVVVVVVVVV

8. Ca M ; MR

r`hn kmrzcp M c omeehb VVVVVVVVV 1. Ca M%J mzh rwf kmrzcoh (MJ#

R;VVVVVVVVVV

7. R`h nmkh kmrzcp c gcqhn js VVVVVVVVVVVV

0. M kmrzcp `mqcng fnes fnh zfw c omeehb VVVVVVVVVV

3. Ca = =" ; li “" r`hn m ) j ) o ) b ; VVVVVVVVVVVVVVV

=4. M p= = :

" ;Y

= :[ fzbhz fa kmrzcp M c VVVVVVVVVVVVVVVVVVVV

,,,,,,,





BMRH < :7.=: .:4== (Kfzn.#


C.MN_WHZ R@H AFEEFWCNG < 8P=;8=. Ca ₥: 81 ?• `ms nf kxerctecomrcqh cnqhzsh % acnb m .

:. Ca r`h qmexh fa Ca ₥“ √ : 8√ :• ;4 acnb b

?. Ca M; ₥= : ?• r`hn s`fw r`mr M; M+=d

2. Bhacnh nfn+scngxemz kmrzcp.

8. Ca M ; ₥= √=• r`hn acnb M+=


1. Ca M ; ₥= :: ?• J; ₥: 8 √?• Acnb r`h kmrzcp J ) M+=

7. Ca J; ₥= :: ?• _`fw r`mr J ) J+= ;2C

CCC.MN_WHZ R@H AFEEFWCNG < 2P2 ;=1

0. M ; ₥= √=: √=• 9 J ; ₥: 8 √?• r`hn s`fw r`mr ( MJ#+= ; J+= M+=

3. _feqh js Kmrzcp Cnqhzcfn khr`fb < 7p+:s )8 ;4 9 ==p+1s):8 ;4

=4. _feqh js Ozmkhz– Khr̀ fb < :p +?s )1 ;4 mnb 1p )s)0 ;4

==. _feqh xscng kmrzcp cnqhzscfn khr`fb m= p)j= )o=;4 9 m: p)j: )o:;4

CQ.ACEE CN R@H JEMNI_< 8P » ; : »=. Ca ₥ l“ i• c m cngxemz kmrzcp r`hn mo;VVVV

:. M . M+=

; VVVVVVVVVV

?. ₥+ 1? :+• c mcngxemz kmrzcp r`hn p; VVVVVV

2. Ca t ; ₥8 i• cs rf jh somemz kmrzcp r`hn o ; VVVVVVVVVVV

8. ( M+=

#+=

; VVVVVVVVV

1. ₥ˁi ‴‴ ˁi• ;VVVVVVVVVV

7. Kmrzcoh c cnrzfbxohb js VVVVVVVVVVVV

0. Ca M s ; J r`hn s c omeehb VVVVVVVVVV3. Cn feqcng kmrzcp ?p+:s ;= 9 2p )?s;7 r`h ofnrmnr kmrzcp c VVVVVVVVVVVVV

=4. Afz VVVVVVVVVVV kmrzcoh Cnqhzh bfh nfr hpcr.

,,,,,,,





BMRH < :?.=: .:4== (Kfzn.#



=. Afz m gcqhn bmrm khmn;?3 %khbcmn;?0 .acnb kfbh.:. Acnb r`h mzcr`khrco khmn fa :&8 %8&?% =&?% 8&1 mnb =&1.?. Acnb r`h khbcmn fa r`h fjshzqmrcfns. +?%+8%+0%4%?%:%+=42. R`h sxk fa =8 fjshzqmrcfns cs 2:4 .acnb r`h khmn.8. Acnb r`h zmngh fa aczsr nmrxzme nxkjhzs.CC.MN_WHZ R@H AFEEFWCNG < 2P: ;0

1 .R`h khbcmn fa r`h bmrm#%

%

%

% p (p > 4 # Cs 0 Acnb r`h qmexh fa p

7. R`h khmn fa =4 fjshzqmrcfns cs =1.? j mn hzzfz .Fnh fjshzqmrcfn cs zhgcsrhzhb ms ?: cnsrhmb fa :? .acnb ofzzhor khmn.

0. Wzcrh khzcrs fa Mzcr`khrco khmn3. R`h khmn fa :4 fjshzqmrcfns cs =:.8 J mn hzzfz fnh fjshzqmrcfn cs zhgcsrhzhb ms +=8 cnsrhmb fa =8Acnb r`h ofzzhor khmn. CCC.MN_WHZ R@H AFEEFWCNG < ?P2 ;=:

=4. Acnb r`h khmn

==. Acnb khbcmn

kmzis 4+8 8+=4 =4+=8 =8+:4 :4+:8

srxbhnrs =4 =0 2: :? 7

=:. acnb kfbhkmzis =8+

:2

:8+

?2

?8+

22

28+

82

88+

12

18+

72

_rxbhnr 0 :4 :0 ?4 =4 2


=. R`h M.K fa =4 fjshzqmrcfns cs 7 .R`h M.K fa =8 fjshzqmrcfns cs =: .R`hn r`h khmn fa meefjshzqmrcfns cs VVVVVVVVVVVV:. .Ca r`h M.K fa ?%8%3%p%== cs 7 r`hn p ; VVVVVVVVVVVVVVVVV?. Cn m `csrfgzmk %r`h jzhmbr`s fa r`h zhormngehs zhtzhshnr r`h VVVVVVVVVVVVVV+2. R`h M.K fa aczsr n nmrxzme nxkjhzs cs VVVVV8. R`h zmngh fa r`h sofzhs =4%=0%=8%=:%=?%=8 mnb =1 cs VVVVVVVVVVVV1 Amr`hz fa srmrcsrcos cs VVVVVVVVVVV7 Afz r`h ofnsrzxorcfn fa azh}xhno tfegfn VVVVVVVVVVVVVV mnb azh}xhnochs mzh rmihn0. R`h khbcmn fa 8%=4%?%7%:%3%1%:%==3. R`h kcb tfcnr fa r`h oemss 24+84 cs VVVVVVVVVVVVVV=4. R`h khbcmn fa ¾%=&:%:&?%=&1%7&=: cs VVVVVVVVVVV

,,,,,,,

o.C 4+3 =4+

=3

:4+

:3

?4+

?3

24+

23

azh}xhno 0 =8 :4 28 =:




GZMNB RH_R +2

KMR@HKMRCO_


OEM__< P

BMRH < 47 .4= .:4=: (KFZ.# TMZR+M( KMP. KMZI_ <?8# RCKH : » @Z_.

_HORCFN+C 8P: ;=4


GZFXT+M

=.tzfqh r`mr r`h ecnh lfcncng r`h kcb tfcnrs fa rwf scbhs fa m rzcmngeh cs tmzmeehe rf r`h r`czb scbh.

:.Afz m gcqhn bmrm khmn cs ?3 mnb kfbh cs ?1 .Acnb r`h khbcmn.?. Acnb r`h M.K. fa r`h fjshzqmrcfns :&8% 8&?% =&?% 8&1%mnb =&1.

Bhg&kcn f 1 =: =0 :2 ?4 ?1 2: 20 82 = : ? 2 888 4.0=3: 0:8= 0:1= 0:7= 0:0= : ? 8 7 0

2. Ca K p (= :4 8

# ; Y : ? [ Acnb r`h fzbhz fa K mnb bhrhzkcnh K

GZFXT+J

8. M qhzrcome srcoi omsrs m s`mbfw 0ok fn r`h gzfxnb. Mr r`h smkh rckh m rfwhz omsrs r`h s`mbfw 24 ok

efng r`h gzfxnb . Bhrhzkcnh r`h `hcg`r fa r`h rfwhz.1. Ca J; Y= :

: ?[ _`fw r`mr J ) J+= ;2C7. Cn Z`fkjxs MJOB % tzfqh r`mr MJ: )JO: )OB: )BM: ; MO: )JB: ;2 MJ:0. R`h khmn fa :4 fjshzqmrcfns cs =:.8.J mn hzzfz fnh fjshzqmrcfn cs zhgcsrhzhb ms +=8 cnsrhmb fa =8

.Acnb r`h ofzzhor khmn. _HORCFN+CC 2P=;2

NFRH< Mnswhz MNS AFXZ fa r`h afeefwcngHmo` }xhsrcfn omzzchs = Kmzi.

3._rmrh r`h ofnqhzsh Tr`mgfzhmn r`hfzhk.=4. Rwf oczoehs mzh zmbcc ?ok mnb =ok .R`h bcsrmnoh jhrwhhn r`hcz ohnrhzs cs 8ok.Acnb r`h ehngr` fa r`hcz ehngr` fa r`hcz rzmnsqhzsme ofkkfn rmnghnr.==. M ; Y= ?

: √=[ r`hn s`fw r`mr M: ; 7C=:. Ca Y+ ?

? :[ Y :√= [ ; Y 8

4 [ r`hn acnb p=?.Acnb r`h mzcr`khrco khmn fa (m+j# mnb (m)j#.=2. Wzcrh r`h khzcrs fa r`h Mzcr`khrco khmn.



_HORCFN+CCC 2P2;=1



GZFXT+M

=8._rmrh mnb tzfqh Merhznmrh shgkhnr r`hfzhk. =1. _feqh Xscng Omzkhzs khr`fb < 1p)0;2 9 7p)3;:=7. acnb r`h khmn<

O.C =4+=3 :4+:3 ?4+?3 24+23 84+83 14+13 74+73 04+03azh}xhno ?: 2: 24 81 :4 1 : :

=0. M ; Y√: =? √=

[ 9 J ; Y: 48 √?

[ r`hn s`fw r`mr ( MJ#+= ; J+= M+=

GZFXT+J

=3. Acnb r`h kfbh<

kmzis =8+:2 :8+?2 ?8+22 28+82 88+12 18+72

_rxbhnr 0 :4 :0 ?4 =4 2

:4. _rmrh mnb tzfqh Jmsco tzftfzrcfnmecr r`hfzhk:=.Acnb r`h khbcmn <

Kmzis :4+:3 ?4+?3 24+23 84+83 14+13 74+73Nf. fa srxbhnrs

=8 =1 ?0 =8 3 7

::. Xscng kmrzcp cnqhzscfn khr`fb sfeqh< ?p)2;0 9 p+1 ;=4

_HORCFN+CQ =P8;8



:?. Ofnsrzxor m rzcmngeh MJO cn w`co` JO;7ok % ∤M ;74f mnb r`h affr fa r`h thzthnbcoxemz B fn JOazfk M cs 2.8ok mwm azfk J.

:2. Ofnsrzxor m ooeco }xmbzcemrhzme MJOB cn w`co` MO;2ok% ∤MJO ;874 %MJ ;=.8ok mnb MB ;:ok.

,,,,,,,



MQMNR@C @CG@ _O@FFE

@XNRHZ ZFMB @NI

GZMNB RH_R +2

KMR@HKMRCO_


OEM__< P TMZR+J( KMP. KMZI_ <=8# RCKH : » @Z_Nfrh < =. Hmo` ]xhsrcfn omzzchs » kmzi.

:. Mnswhzs mzh rf jh wzcrrhn cn r`h }xhsrcfn tmthz fne.?. Mee }xhsrcfns mzh rf jh mnswhzhb.2.Kmzis wcee nfr jh gcqhn afz fqhz+wzcrrhn % zh+wzcrrhn fz hzmshb mnswhzs.


=.R`h mercrxbhs fa rwf sckcemz rzcmngehs mzh cn r`h zmrcf =<∜ : r`hn r`hcz mzhms zmrcf cs Y [M# =<= J# =<: O# =< ∜ : B# ∜ : <=

:. Ca rwf oczoehs rfxo` cnrhznmee % r`hn r`h nxkjhz fa r`hcz ofkkfn rmnghnrs Y [M#= J# : O# ? B# nf rmnghnrs?. Ca rwf oczoehs `mqcng r`h zmbcc ?ok mnb 8ok rfxo` hmo` fr`hz cnrhznmee % r`hn r`h bcsrmnohjhrwhhn r`hcz ohnrhzs cs Y [M# 0 J# 3 O# : B# ?82. Zfws mnb ofexkns fa r`h kmrzcp M mzh cnrhzo`mnghb r`hn r`h kmrzcp cs infwn ms Y [M#Cnqhzsh J# s}xmzh O# Rzmnstfsh B#\hzf8 . M; (2 ++ 3

# ca cr ̀ ms nf kxerctecomrcqh cnqhzsh Y [M#½1 J# ½2 O# ½3 B#½?

1. Ca t;(8 4

4 Ť# cs rf jh somemz r`hn

Ť;

Y [M#4 J#= O#: B#87. R`h zmngh fa :4%:0%?7%2:%?%=:%=8%:1 Y [M#28 J# ?2 O# ?3 B#240.R`h M.K fa m): %m % mnb m+: cs Y [M# m): J# m O# m+: B#?m3. R`h khbcmn fa r`h sofzhs =4%?4%==4%=4:%34 mnb 84 cs Y [M# =2 J# :1 O# =? B# =0

=4 R`h kcb qmexh fa r`h oemss cs xshb rf omeoxemrh afz Y [M#M.K J# kfbh O# Khbcmn B#NfnhCC. Acee cn r`h jemnis wcr` sxcrmjeh mnswhzs .==. R`h ehngr` fa r`h rmnghnr bzmwn rf m oczoeh wcr` zmbcxs z azfk m tfcnr T w`co` cs b ok mwm azfkr`h ohnrzh cs VVVVVVVVVVVV =:. Rwf oczoehs fa zmbcc p mnb rfxo` hmo` fr`hz hprhznmee .R`h bcsrmnoh jhrwhhn r`hcz ohnrhzs csVVVVVVVVVVV=?. ∁MJO T]Z r`hn MJ<MO;VVVVVVVVV=2. Ca B cs r`h kcb tfcnr fa JO cn MJO % r`hn MJ: )MO:; VVVVVVVVVVVVV=8. Cn m `csrfgzmk %r`h jzhmbr`s fa r`h zhormngehs zhtzhshnr r`h VVVVVVVVVVVVVV.=1. M.K fa aczsr n fbb nxkjhzs cs VVVVVVVVVVVV=7. r`h kcb qmexh fa r`h oemss cnrhzqme cs xshb rf omeoxemrh cs VVVVVVVVVVV

=0 .Kmrzcohs wms cnrzfbxohb jVVVVVVVVVVVV=3. cat ; ₥= : ?• ;r`hn t+= ;VVVVVVV:4. Ca M ; + MR r`hn kmrzcp M cs omeehb VVVVVVVVV .

=8




(c# Gzfxt ‟ M Gzfxt ‟ J

:=. cnqhzsh fa r`h cbhnrcr kmrzcp C cs ; Y [ M# +?::. Y2 √11 ?+[ cs m scngxemz kmrzcp r`hn p ; Y [ J# 4

:?. Bhrhzkcnmrh fa r`h scngxemz kmrzcp Y [ O# IMR

:2. (IM#R ; Y [ B# MR JR

:8. (MJ#R ; Y [ H#IR MRA# JR MR

G# +=@# C

(cc# Gzfxt ‟ M Gzfxt ‟ J:1 . O. C fa =+0%3+=1 ‡. cs Y [ M# “: √ (″= √ ″:#:

M (p= %= # J(p: %: # cs:7. Khbcmn fa 8%2%=%:%? cs Y [ J# ( “: √ (″= ) ″:#: :0. M.K fa +=%+:%+?%=%:%? cs Y [ O# =:3. Ehngr` fa bczhor ofkkfn rmnghnr Y [ B# +??4.Ehngr` fa rzmnsqhzsh ofkkfn rmnghnr Y [ H# 4

A# ?G# 0

,,,,,,,,

tenth class maths model question papers

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